1. Yes, all of the rooms have a daybed.
2. This is the fax # I have 407-824-3174. I have heard that not all room assigners pay attention to faxes though. The things you can request on the on-line check-in form are limited (crib, refrigerator - which you automatically get at Poly anyways, and 1st floor I think). We just phoned the main reservation number and had our requests added to our reservation. We got most of what we wanted (third floor, connecting rooms) except for the specific longhouse, but we loved our location in the end anyways, so it didn't matter (the other requests were more important to us).
3. Poly does have pool games/activities. They aren't every day of the week though and the times vary. You will get a schedule when you check in.
Hope this helps!